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# Katie Geometry

### Katie's Geometry Facts

Questions | Answer |
---|---|

Point | location one dot |

Plane | a flat surface made of at leas three points |

collinear | points on the same line |

non-collinear | points not on the same line |

coplainer | points on the same plane |

line segment | can be measured |

between | a point between two other points |

congruent | two segments that have the same measurement of length ~ = |

distance | number of units between two points on a number line D = square root (x-x)squared + (y-y)squared |

midpoint | half way between a point and the end point |

midpoint plane formula | m= x+x/2 and y-y/2 |

ray | part of a line that has an endpoint and extends indefinitely in one direction. |

opposite ray | two rays with the same starting point and going in opposite directions. |

degree | what you measure angles in |

angle | formed by two non collinear rays that have a common endpoint; the rays are called sides and the common endpoint is called the vertex |

right angle | equals 90 degrees |

acute | less than 90 degree |

obtuse | greater than 90 |

congruent angles | angles that have the same measurement |

adjacent angles | two angle that lie on the same plane and have a common vertex and common sides but have no common interior points. |

vertical angles | two non adjacent angles made by an intersection and are always congruent |

linear pair | pair of adjacent angles with non common sides that are opposite rays. |

supplementary angles | two angles that equal 180 degrees |

perpendicular lines | line segments that make an intersection and all make 90 degree angles. |

conjecture | educated guess based on known knowledge. |

inductive reasoning | reasoning that uses a number of specific examples to arrive at a good prediction. |

counter example | makes the inductive reasoning false. |

statement | a sentence that is either true or false but not both. |

negate | opposite meaning - put a not in the sentence.~ means not |

compound statement | two or more statements joined together. |

conjunction | a compound statement formed by two statement joined by and ^ |

disjunction | a compound statement by joining two statements with or V |

conditional statement | can be written in a "if then form" |

conclusion | an if phrase immediately followed by then |

converse statement | formed by exchanging the hypothesis and conclusion |

hypothesis | a then phrase immediately followed by if. |

inverse statement | negates the hypothesis and the conclusion |

contra-point | negates both the hypotheses and the conclusion and the converse statement |

deductive reasoning | using facts, rules, definitions, or properties to reach a logical conclusion. |

law of detachment | if P then Q is true, then P is true, and Q is also true. |

law of syllogism | if P then Q. and Q is R then P is R |

postulate | statement that is accepted as true |

postulate statement 2.1 | through any two points there is exactly one line |

postulate statement 2.2 | through any three points not on the same line there is exactly one plane |

postulate statement 2.3 | a line that contains at least two points |

postulate statement 2.4 | a plane contains at leas thee points not on the same line |

postulate 2.5 | if two points on lie on the same plane the entire lines points are also on that same plane |

postulate 2.6 | when two lines intersect then the intersection is a point. |

Postulate 2.7 | if two planes intersect then the intersection is a line |

theorem | statement that can be proven true by undefined terms, definitions, and postulates. |

proof | a logical argument |

Created by:
kcorkinsnctc